We know, for testing a hypothesis, P-Value is important.
if P-value < α then we reject the Null Hypothesis & accept Alternative hypothesis.
There is nothing about A & C.
(b) P value is 0.008 < 0.01. So, we will reject H0.
(d) P value is 0.036> 0.01. So, we may fail to reject H0.
(e) P value is 0.424 > 0.10. So, we may fail to reject H0.
Below is a selection of MiniTab output for hypothesis tests about data on homes sold in...
Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level of confidence used to construct a confidence interval from sample data. Let α be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean. For a two-tailed hypothesis test with level of significance α and null hypothesis H0: μ = k, we reject H0 whenever k falls outside the c = 1 − α confidence...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left. No, the x distribution...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...
Test the claim that the mean GPA of night students is smaller than 2.9 at the 0.01 significance level. The null and alternative hypothesis would be: H0:p≥0.725H0:p≥0.725 H1:p<0.725H1:p<0.725 H0:μ≥2.9H0:μ≥2.9 H1:μ<2.9H1:μ<2.9 H0:μ=2.9H0:μ=2.9 H1:μ≠2.9H1:μ≠2.9 H0:μ≤2.9H0:μ≤2.9 H1:μ>2.9H1:μ>2.9 H0:p=0.725H0:p=0.725 H1:p≠0.725H1:p≠0.725 H0:p≤0.725H0:p≤0.725 H1:p>0.725H1:p>0.725 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 2.89 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the...
Test the claim that the mean GPA of night students is smaller than 2.8 at the .10 significance level. The null and alternative hypothesis would be: H1 : p < 0.7 H1ιμ>2.8 H1 : μ < 2.8 Ho:p 0.7 Ho:p 0.7 Ho: 2.8 The test is: left-tailed right-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 2.76 with a standard deviation of 0.05 The test statistic is: decimals) The critical value is: decimals) Based on...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use either the T Calculator or the Normal Calculator to compute the P-value of the following test statistics. (a) The test statistic in a two-tailed is z = 1.39. Round to four decimal places. (b) Find the P-value for a right-tailed test with n = 27 and test statistic t = 1.502. Round to...
The price to earnings ratio (P/E) is an important tool in
financial work. A random sample of 14 large U.S. banks (J. P.
Morgan, Bank of America, and others) gave the following P/E
ratios.†
24
16
22
14
12
13
17
22
15
19
23
13
11
18
The sample mean is
x ≈ 17.1.
Generally speaking, a low P/E ratio indicates a "value" or
bargain stock. Suppose a recent copy of a magazine indicated that
the P/E ratio of...
Test the claim that the proportion of people who own cats is smaller than 40% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ≤0.4H0:μ≤0.4 H1:μ>0.4H1:μ>0.4 H0:p≥0.4H0:p≥0.4 H1:p<0.4H1:p<0.4 H0:p=0.4H0:p=0.4 H1:p≠0.4H1:p≠0.4 H0:p≤0.4H0:p≤0.4 H1:p>0.4H1:p>0.4 H0:μ=0.4H0:μ=0.4 H1:μ≠0.4H1:μ≠0.4 H0:μ≥0.4H0:μ≥0.4 H1:μ<0.4H1:μ<0.4 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 33% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 30% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ=0.3H0:μ=0.3 H1:μ≠0.3H1:μ≠0.3 H0:μ≥0.3H0:μ≥0.3 H1:μ<0.3H1:μ<0.3 H0:p≤0.3H0:p≤0.3 H1:p>0.3H1:p>0.3 H0:μ≤0.3H0:μ≤0.3 H1:μ>0.3H1:μ>0.3 H0:p=0.3H0:p=0.3 H1:p≠0.3H1:p≠0.3 H0:p≥0.3H0:p≥0.3 H1:p<0.3H1:p<0.3 The test is: left-tailed right-tailed two-tailed Based on a sample of 100 people, 28% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Consider the data that is summarized in the Minitab output below. Descriptive Statistics: C1, C2 Variable N Mean SE Mean StDev Minimum Q1 C1 25 161.56 6.72 33.58 106.00 125.00 C2 17 185.59 6.32 26.05 181.00 197.50 Median Q3 Maximum 143.00 167.50 234.00 208.00 227.50 288.00 Suppose that we want to test the hypothesis that the mean for population 1 is less than the mean for population 2, assuming the the population variances are equal. The test statistic is found...